Abstract
In this short note we will present a short introduction to our recent work [1], [2], [3] on the problem of solving the Grassmannian sigma models and their supersymmetric versions in euclidean two dimensional space. Exactly integrable field theoretical models in two dimensions such as the sine-Gordon equation, the massive Thirring models and the O(n) sigma model have provided an interesting theater for discussing the complicated nonlinear interactions in particle physics. Among them the Grassmannian sigma models [4] are particularly interesting because of their many common features with the four dimensional gauge theories and of the simpler structure.
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